Answer:
The margin of error for a 99% confidence interval for the population mean is 1.8025.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
In this problem:

So

The margin of error for a 99% confidence interval for the population mean is 1.8025.
Answer:
or
Step-by-step explanation:
we know that
Applying Pythagoras' Theorem, calculate how many kilometers eastward Santos walked
so
Let
x----> quantity of kilometers eastward that Santos walked


----> exact value
-----> approximate value
This is the concept of algebra, to solve the question we proceed as follows;
the current number of women is:
1/4*20=5 women
the percentage of women is:
1/4*100=25%
therefore for the team to have 40% women, the number of women should be:
40/25*5
=8 women
The answer is 8 women
<h2>
<u>Answer:</u></h2>
=> B) The amount of popcorn that fits in a particular container.
<h2>
<u>Explanation:</u></h2>
=> The amount of space that a substance or object occupies, or that is enclosed within a container is known as <u>volume.</u><u> </u> The first & third option measures the surface area while the fourth option measures the distance covered. Thus, the second option (b) is the correct answer.

There are 5 pennies in a nickel, and 10 pennies in a dime. Now in $3.90 there are 390 pennies.
n = number of nickels in the pile
d = number of dimes in the pile
we know the pile has 55 coins, therefore whatever "n" and "d" are, we know that
n + d = 55.
now, "n" is how many nickel coins are there, how many pennies is it in total? well, 5 pennies to a nickel, for "n" nickels, will then be 5(n) or
5n.
and "d" is how many dime coins are there, so therefore in "d" coins, there are 10(d) pennies, or
10d.
we also know the total amount of pennies is 390, therefore
5n + 10d = 390.

how many nickel coins are there anyway? well, n = 55 - d.